Information on Result #710124
Linear OA(579, 124, F5, 41) (dual of [124, 45, 42]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {32,33,…,72}, and designed minimum distance d ≥ |I|+1 = 42
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(579, 124, F5, 40) (dual of [124, 45, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5101, 161, F5, 44) (dual of [161, 60, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(5108, 168, F5, 47) (dual of [168, 60, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(5106, 166, F5, 46) (dual of [166, 60, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(5106, 163, F5, 47) (dual of [163, 57, 48]-code) | [i] | ✔ | |
| 6 | Linear OOA(579, 62, F5, 2, 41) (dual of [(62, 2), 45, 42]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(579, 41, F5, 3, 41) (dual of [(41, 3), 44, 42]-NRT-code) | [i] | ||